Pandas Profiling Report

Dataset statistics

Number of variables	20
Number of observations	327
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	0
Duplicate rows (%)	0.0%
Total size in memory	53.6 KiB
Average record size in memory	168.0 B

Variable types

NUM	20

Warnings

`WHITE_FEMALE` is highly correlated with `AFRICAN_AMERICAN_FEMALE` and 3 other fields	High correlation
`AFRICAN_AMERICAN_FEMALE` is highly correlated with `WHITE_FEMALE` and 4 other fields	High correlation
`MALE` is highly correlated with `FEMALE`	High correlation
`FEMALE` is highly correlated with `MALE`	High correlation
`AFRICAN_AMERICAN_MALE` is highly correlated with `AFRICAN_AMERICAN_FEMALE` and 3 other fields	High correlation
`WHITE_MALE` is highly correlated with `AFRICAN_AMERICAN_FEMALE` and 2 other fields	High correlation
`AFRICAN_AMERICAN` is highly correlated with `AFRICAN_AMERICAN_FEMALE` and 4 other fields	High correlation
`ASIAN` is highly correlated with `ASIAN_FEMALE` and 1 other fields	High correlation
`ASIAN_FEMALE` is highly correlated with `ASIAN`	High correlation
`ASIAN_MALE` is highly correlated with `ASIAN`	High correlation
`HISPANIC` is highly correlated with `HISPANIC_FEMALE` and 1 other fields	High correlation
`HISPANIC_FEMALE` is highly correlated with `HISPANIC`	High correlation
`HISPANIC_MALE` is highly correlated with `HISPANIC`	High correlation
`WHITE` is highly correlated with `AFRICAN_AMERICAN_FEMALE` and 4 other fields	High correlation
`ECONOMICALLY_DISADVANTAGED` has unique values	Unique
`HISPANIC_FEMALE` has 10 (3.1%) zeros	Zeros
`ASIAN_FEMALE` has 82 (25.1%) zeros	Zeros
`AFRICAN_AMERICAN_FEMALE` has 11 (3.4%) zeros	Zeros
`WHITE_FEMALE` has 15 (4.6%) zeros	Zeros
`AFRICAN_AMERICAN_MALE` has 11 (3.4%) zeros	Zeros
`WHITE_MALE` has 8 (2.4%) zeros	Zeros
`ASIAN_MALE` has 87 (26.6%) zeros	Zeros
`HISPANIC_MALE` has 7 (2.1%) zeros	Zeros
`AFRICAN_AMERICAN` has 4 (1.2%) zeros	Zeros
`ASIAN` has 58 (17.7%) zeros	Zeros

Reproduction

Analysis started	2020-11-03 18:03:45.408759
Analysis finished	2020-11-03 18:04:54.360624
Duration	1 minute and 8.95 seconds
Software version	pandas-profiling v2.9.0
Download configuration	config.yaml

DISTRICT_ID
Real number (ℝ_≥0)

Distinct	121
Distinct (%)	37.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	530.6544343
Minimum	10
Maximum	985
Zeros	0
Zeros (%)	0.0%
Memory size	2.6 KiB

Quantile statistics

Minimum	10
5-th percentile	63.7
Q1	277.5
median	570
Q3	792
95-th percentile	940
Maximum	985
Range	975
Interquartile range (IQR)	514.5

Descriptive statistics

Standard deviation	284.2355151
Coefficient of variation (CV)	0.5356320362
Kurtosis	-1.295871971
Mean	530.6544343
Median Absolute Deviation (MAD)	240
Skewness	-0.2056363684
Sum	173524
Variance	80789.82807
Monotocity	Increasing

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
792	37	11.3%
190	24	7.3%
330	18	5.5%
470	15	4.6%
940	10	3.1%
830	8	2.4%
750	8	2.4%
630	7	2.1%
600	6	1.8%
740	6	1.8%
Other values (111)	188	57.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
10	2	0.6%
12	1	0.3%
20	3	0.9%
30	1	0.3%
40	1	0.3%

Value	Count	Frequency (%)
985	5	1.5%
950	5	1.5%
940	10	3.1%
930	1	0.3%
920	4	1.2%

SCHOOL_ID
Real number (ℝ_≥0)

Distinct	156
Distinct (%)	47.7%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	748.8012232
Minimum	1
Maximum	8275
Zeros	0
Zeros (%)	0.0%
Memory size	2.6 KiB

Quantile statistics

Minimum	1
5-th percentile	7.3
Q1	25
median	50
Q3	122.5
95-th percentile	8008.6
Maximum	8275
Range	8274
Interquartile range (IQR)	97.5

Descriptive statistics

Standard deviation	1994.994425
Coefficient of variation (CV)	2.664251023
Kurtosis	8.80494845
Mean	748.8012232
Median Absolute Deviation (MAD)	35
Skewness	3.154846337
Sum	244858
Variance	3980002.755
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
15	19	5.8%
25	19	5.8%
40	14	4.3%
10	12	3.7%
20	11	3.4%
35	10	3.1%
30	9	2.8%
5	9	2.8%
45	8	2.4%
70	6	1.8%
Other values (146)	210	64.2%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1	1	0.3%
2	1	0.3%
3	4	1.2%
4	1	0.3%
5	9	2.8%

Value	Count	Frequency (%)
8275	1	0.3%
8252	1	0.3%
8234	1	0.3%
8232	1	0.3%
8217	1	0.3%

grad_rate
Real number (ℝ_≥0)

Distinct	45
Distinct (%)	13.8%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.8921406728
Minimum	0.11
Maximum	0.99
Zeros	0
Zeros (%)	0.0%
Memory size	2.6 KiB

Quantile statistics

Minimum	0.11
5-th percentile	0.676
Q1	0.88
median	0.93
Q3	0.96
95-th percentile	0.98
Maximum	0.99
Range	0.88
Interquartile range (IQR)	0.08

Descriptive statistics

Standard deviation	0.1269015068
Coefficient of variation (CV)	0.1422438306
Kurtosis	16.84823771
Mean	0.8921406728
Median Absolute Deviation (MAD)	0.03
Skewness	-3.657600245
Sum	291.73
Variance	0.01610399242
Monotocity	Not monotonic

Histogram with fixed size bins (bins=45)

Value	Count	Frequency (%)
0.96	36	11.0%
0.94	35	10.7%
0.97	29	8.9%
0.92	28	8.6%
0.93	24	7.3%
0.95	22	6.7%
0.98	21	6.4%
0.91	18	5.5%
0.9	16	4.9%
0.88	12	3.7%
Other values (35)	86	26.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.11	1	0.3%
0.12	1	0.3%
0.15	1	0.3%
0.19	1	0.3%
0.2	1	0.3%

Value	Count	Frequency (%)
0.99	8	2.4%
0.98	21	6.4%
0.97	29	8.9%
0.96	36	11.0%
0.95	22	6.7%

TOTAL
Real number (ℝ_≥0)

Distinct	302
Distinct (%)	92.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	876.6360856
Minimum	13
Maximum	2773
Zeros	0
Zeros (%)	0.0%
Memory size	2.6 KiB

Quantile statistics

Minimum	13
5-th percentile	120.6
Q1	452
median	728
Q3	1209
95-th percentile	2041.1
Maximum	2773
Range	2760
Interquartile range (IQR)	757

Descriptive statistics

Standard deviation	573.2477481
Coefficient of variation (CV)	0.6539175805
Kurtosis	0.253089679
Mean	876.6360856
Median Absolute Deviation (MAD)	341
Skewness	0.8970511019
Sum	286660
Variance	328612.9807
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
1006	3	0.9%
554	3	0.9%
1667	2	0.6%
533	2	0.6%
833	2	0.6%
818	2	0.6%
407	2	0.6%
445	2	0.6%
914	2	0.6%
707	2	0.6%
Other values (292)	305	93.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
13	1	0.3%
16	1	0.3%
29	1	0.3%
37	1	0.3%
51	1	0.3%

Value	Count	Frequency (%)
2773	1	0.3%
2734	1	0.3%
2411	1	0.3%
2329	1	0.3%
2295	1	0.3%

ECONOMICALLY_DISADVANTAGED
Real number (ℝ_≥0)

UNIQUE

Distinct	327
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.3268897077
Minimum	0.007798440312
Maximum	0.8571428571
Zeros	0
Zeros (%)	0.0%
Memory size	2.6 KiB

Quantile statistics

Minimum	0.007798440312
5-th percentile	0.0714057229
Q1	0.220296362
median	0.3027777778
Q3	0.397238552
95-th percentile	0.6741727912
Maximum	0.8571428571
Range	0.8493444168
Interquartile range (IQR)	0.17694219

Descriptive statistics

Standard deviation	0.1686775526
Coefficient of variation (CV)	0.5160075358
Kurtosis	0.5547541236
Mean	0.3268897077
Median Absolute Deviation (MAD)	0.08657072274
Skewness	0.7650649861
Sum	106.8929344
Variance	0.02845211674
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.3333333333	1	0.3%
0.2734478203	1	0.3%
0.5460048426	1	0.3%
0.7020648968	1	0.3%
0.4282907662	1	0.3%
0.3041958042	1	0.3%
0.3	1	0.3%
0.6363636364	1	0.3%
0.3344671202	1	0.3%
0.3718459495	1	0.3%
Other values (317)	317	96.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.007798440312	1	0.3%
0.01066816395	1	0.3%
0.01557093426	1	0.3%
0.02506963788	1	0.3%
0.02869518138	1	0.3%

Value	Count	Frequency (%)
0.8571428571	1	0.3%
0.8259911894	1	0.3%
0.8032490975	1	0.3%
0.7868561279	1	0.3%
0.7713414634	1	0.3%

FEMALE
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	323
Distinct (%)	98.8%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.4865956549
Minimum	0.1538461538
Maximum	1
Zeros	0
Zeros (%)	0.0%
Memory size	2.6 KiB

Quantile statistics

Minimum	0.1538461538
5-th percentile	0.4395424157
Q1	0.4696411413
median	0.4849699399
Q3	0.5010976447
95-th percentile	0.5421590809
Maximum	1
Range	0.8461538462
Interquartile range (IQR)	0.03145650346

Descriptive statistics

Standard deviation	0.06028468513
Coefficient of variation (CV)	0.1238907181
Kurtosis	23.51855634
Mean	0.4865956549
Median Absolute Deviation (MAD)	0.015625331
Skewness	1.01582001
Sum	159.1167792
Variance	0.003634243262
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.4821428571	3	0.9%
0.5	2	0.6%
0.5217391304	2	0.6%
0.5223880597	1	0.3%
0.4916958042	1	0.3%
0.4859708193	1	0.3%
0.5213675214	1	0.3%
0.4756446991	1	0.3%
0.4988207547	1	0.3%
0.3098591549	1	0.3%
Other values (313)	313	95.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.1538461538	1	0.3%
0.1836734694	1	0.3%
0.2368421053	1	0.3%
0.25	1	0.3%
0.275862069	1	0.3%

Value	Count	Frequency (%)
1	1	0.3%
0.7297297297	1	0.3%
0.7111913357	1	0.3%
0.6822429907	1	0.3%
0.6666666667	1	0.3%

HISPANIC_FEMALE
Real number (ℝ_≥0)

HIGH CORRELATION
ZEROS

Distinct	312
Distinct (%)	95.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.039851951
Minimum	0
Maximum	0.3874643875
Zeros	10
Zeros (%)	3.1%
Memory size	2.6 KiB

Quantile statistics

Minimum	0
5-th percentile	0.003209064327
Q1	0.01214741509
median	0.02362204724
Q3	0.04831310117
95-th percentile	0.1445876109
Maximum	0.3874643875
Range	0.3874643875
Interquartile range (IQR)	0.03616568609

Descriptive statistics

Standard deviation	0.04981535935
Coefficient of variation (CV)	1.250010554
Kurtosis	13.2859392
Mean	0.039851951
Median Absolute Deviation (MAD)	0.01386121915
Skewness	3.148653787
Sum	13.03158798
Variance	0.002481570027
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	10	3.1%
0.009900990099	3	0.9%
0.005025125628	2	0.6%
0.01315789474	2	0.6%
0.01061007958	2	0.6%
0.003752345216	2	0.6%
0.06268784886	1	0.3%
0.01768707483	1	0.3%
0.0675944334	1	0.3%
0.006756756757	1	0.3%
Other values (302)	302	92.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	10	3.1%
0.002118644068	1	0.3%
0.002202643172	1	0.3%
0.002277904328	1	0.3%
0.002364066194	1	0.3%

Value	Count	Frequency (%)
0.3874643875	1	0.3%
0.3287671233	1	0.3%
0.2642706131	1	0.3%
0.2409638554	1	0.3%
0.2337078652	1	0.3%

ASIAN_FEMALE
Real number (ℝ_≥0)

HIGH CORRELATION
ZEROS

Distinct	243
Distinct (%)	74.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.007728359289
Minimum	0
Maximum	0.0899820036
Zeros	82
Zeros (%)	25.1%
Memory size	2.6 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	0.0004222972973
median	0.003541912633
Q3	0.009459774603
95-th percentile	0.02944246047
Maximum	0.0899820036
Range	0.0899820036
Interquartile range (IQR)	0.009037477306

Descriptive statistics

Standard deviation	0.01152424548
Coefficient of variation (CV)	1.491163266
Kurtosis	12.83757639
Mean	0.007728359289
Median Absolute Deviation (MAD)	0.003541912633
Skewness	3.051041407
Sum	2.527173488
Variance	0.0001328082339
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	82	25.1%
0.01123595506	2	0.6%
0.01449275362	2	0.6%
0.007163323782	2	0.6%
0.003870967742	1	0.3%
0.03444782168	1	0.3%
0.001459854015	1	0.3%
0.002442002442	1	0.3%
0.01534170153	1	0.3%
0.003658536585	1	0.3%
Other values (233)	233	71.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	82	25.1%
0.0008445945946	1	0.3%
0.0009891196835	1	0.3%
0.001047120419	1	0.3%
0.001094091904	1	0.3%

Value	Count	Frequency (%)
0.0899820036	1	0.3%
0.07130825379	1	0.3%
0.05589614136	1	0.3%
0.0536380597	1	0.3%
0.05215189873	1	0.3%

AFRICAN_AMERICAN_FEMALE
Real number (ℝ_≥0)

HIGH CORRELATION
ZEROS

Distinct	314
Distinct (%)	96.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.1247527596
Minimum	0
Maximum	0.6448598131
Zeros	11
Zeros (%)	3.4%
Memory size	2.6 KiB

Quantile statistics

Minimum	0
5-th percentile	0.003059472162
Q1	0.01309401927
median	0.04743083004
Q3	0.1808198279
95-th percentile	0.4791562354
Maximum	0.6448598131
Range	0.6448598131
Interquartile range (IQR)	0.1677258087

Descriptive statistics

Standard deviation	0.1592933622
Coefficient of variation (CV)	1.276872453
Kurtosis	0.6811652616
Mean	0.1247527596
Median Absolute Deviation (MAD)	0.040208481
Skewness	1.405757605
Sum	40.79415238
Variance	0.02537437524
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	11	3.4%
0.01098901099	2	0.6%
0.003496503497	2	0.6%
0.01047120419	2	0.6%
0.5202312139	1	0.3%
0.004504504505	1	0.3%
0.4085365854	1	0.3%
0.04251207729	1	0.3%
0.005555555556	1	0.3%
0.08848715509	1	0.3%
Other values (304)	304	93.0%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	11	3.4%
0.000761614623	1	0.3%
0.001422475107	1	0.3%
0.001964636542	1	0.3%
0.002415458937	1	0.3%

Value	Count	Frequency (%)
0.6448598131	1	0.3%
0.5714285714	1	0.3%
0.5612535613	1	0.3%
0.5539033457	1	0.3%
0.5272397094	1	0.3%

WHITE_FEMALE
Real number (ℝ_≥0)

HIGH CORRELATION
ZEROS

Distinct	312
Distinct (%)	95.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.3117908165
Minimum	0
Maximum	0.6756756757
Zeros	15
Zeros (%)	4.6%
Memory size	2.6 KiB

Quantile statistics

Minimum	0
5-th percentile	0.001737678957
Q1	0.1786388525
median	0.3805555556
Q3	0.4412827452
95-th percentile	0.4750749251
Maximum	0.6756756757
Range	0.6756756757
Interquartile range (IQR)	0.2626438927

Descriptive statistics

Standard deviation	0.165776808
Coefficient of variation (CV)	0.5316924017
Kurtosis	-0.7570343847
Mean	0.3117908165
Median Absolute Deviation (MAD)	0.07548840049
Skewness	-0.776248733
Sum	101.955597
Variance	0.02748195008
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	15	4.6%
0.4444444444	2	0.6%
0.4211123723	1	0.3%
0.004728132388	1	0.3%
0.3201990875	1	0.3%
0.2664092664	1	0.3%
0.3516483516	1	0.3%
0.03660130719	1	0.3%
0.02786994028	1	0.3%
0.4418604651	1	0.3%
Other values (302)	302	92.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	15	4.6%
0.001488095238	1	0.3%
0.001721170396	1	0.3%
0.001776198934	1	0.3%
0.001915708812	1	0.3%

Value	Count	Frequency (%)
0.6756756757	1	0.3%
0.6	1	0.3%
0.568627451	1	0.3%
0.537037037	1	0.3%
0.5194805195	1	0.3%

MALE
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	323
Distinct (%)	98.8%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.5134043451
Minimum	0
Maximum	0.8461538462
Zeros	1
Zeros (%)	0.3%
Memory size	2.6 KiB

Quantile statistics

Minimum	0
5-th percentile	0.4578409191
Q1	0.4989023553
median	0.5150300601
Q3	0.5303588587
95-th percentile	0.5604575843
Maximum	0.8461538462
Range	0.8461538462
Interquartile range (IQR)	0.03145650346

Descriptive statistics

Standard deviation	0.06028468513
Coefficient of variation (CV)	0.1174214549
Kurtosis	23.51855634
Mean	0.5134043451
Median Absolute Deviation (MAD)	0.015625331
Skewness	-1.01582001
Sum	167.8832208
Variance	0.003634243262
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.5178571429	3	0.9%
0.5	2	0.6%
0.4782608696	2	0.6%
0.4776119403	1	0.3%
0.4949392713	1	0.3%
0.515960534	1	0.3%
0.5348837209	1	0.3%
0.5515151515	1	0.3%
0.503045067	1	0.3%
0.5085348506	1	0.3%
Other values (313)	313	95.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1	0.3%
0.2702702703	1	0.3%
0.2888086643	1	0.3%
0.3177570093	1	0.3%
0.3333333333	1	0.3%

Value	Count	Frequency (%)
0.8461538462	1	0.3%
0.8163265306	1	0.3%
0.7631578947	1	0.3%
0.75	1	0.3%
0.724137931	1	0.3%

AFRICAN_AMERICAN_MALE
Real number (ℝ_≥0)

HIGH CORRELATION
ZEROS

Distinct	317
Distinct (%)	96.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.1215015049
Minimum	0
Maximum	0.5576407507
Zeros	11
Zeros (%)	3.4%
Memory size	2.6 KiB

Quantile statistics

Minimum	0
5-th percentile	0.002269417223
Q1	0.01469913303
median	0.05129913391
Q3	0.1856731575
95-th percentile	0.4639587561
Maximum	0.5576407507
Range	0.5576407507
Interquartile range (IQR)	0.1709740244

Descriptive statistics

Standard deviation	0.1502822207
Coefficient of variation (CV)	1.236875385
Kurtosis	0.5338676258
Mean	0.1215015049
Median Absolute Deviation (MAD)	0.04302361978
Skewness	1.352877798
Sum	39.7309921
Variance	0.02258474586
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	11	3.4%
0.009328358209	1	0.3%
0.02250803859	1	0.3%
0.02702702703	1	0.3%
0.06032482599	1	0.3%
0.0202020202	1	0.3%
0.1430317848	1	0.3%
0.05013192612	1	0.3%
0.02682701203	1	0.3%
0.1977077364	1	0.3%
Other values (307)	307	93.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	11	3.4%
0.001468428781	1	0.3%
0.001715265866	1	0.3%
0.001869158879	1	0.3%
0.002012072435	1	0.3%

Value	Count	Frequency (%)
0.5576407507	1	0.3%
0.5286624204	1	0.3%
0.5090252708	1	0.3%
0.506097561	1	0.3%
0.5044052863	1	0.3%

WHITE_MALE
Real number (ℝ_≥0)

HIGH CORRELATION
ZEROS

Distinct	320
Distinct (%)	97.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.33865467
Minimum	0
Maximum	0.7692307692
Zeros	8
Zeros (%)	2.4%
Memory size	2.6 KiB

Quantile statistics

Minimum	0
5-th percentile	0.004303594352
Q1	0.229159772
median	0.4050297816
Q3	0.4719601677
95-th percentile	0.5165941365
Maximum	0.7692307692
Range	0.7692307692
Interquartile range (IQR)	0.2428003957

Descriptive statistics

Standard deviation	0.1760047989
Coefficient of variation (CV)	0.5197176193
Kurtosis	-0.5948250582
Mean	0.33865467
Median Absolute Deviation (MAD)	0.08529279904
Skewness	-0.7598101866
Sum	110.7400771
Variance	0.03097768922
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	8	2.4%
0.4722222222	1	0.3%
0.3692307692	1	0.3%
0.4776490066	1	0.3%
0.4971857411	1	0.3%
0.4066543438	1	0.3%
0.4667832168	1	0.3%
0.3809753742	1	0.3%
0.008849557522	1	0.3%
0.4174372523	1	0.3%
Other values (310)	310	94.8%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	8	2.4%
0.00181598063	1	0.3%
0.002070393375	1	0.3%
0.002169197397	1	0.3%
0.002680965147	1	0.3%

Value	Count	Frequency (%)
0.7692307692	1	0.3%
0.6896551724	1	0.3%
0.6875	1	0.3%
0.5916230366	1	0.3%
0.582278481	1	0.3%

ASIAN_MALE
Real number (ℝ_≥0)

HIGH CORRELATION
ZEROS

Distinct	235
Distinct (%)	71.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.007391464617
Minimum	0
Maximum	0.06958608278
Zeros	87
Zeros (%)	26.6%
Memory size	2.6 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	0
median	0.003658536585
Q3	0.009138647666
95-th percentile	0.02849408732
Maximum	0.06958608278
Range	0.06958608278
Interquartile range (IQR)	0.009138647666

Descriptive statistics

Standard deviation	0.0109408413
Coefficient of variation (CV)	1.480199374
Kurtosis	8.807196186
Mean	0.007391464617
Median Absolute Deviation (MAD)	0.003658536585
Skewness	2.734796319
Sum	2.41700893
Variance	0.0001197020083
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	87	26.6%
0.001321003963	2	0.6%
0.004535147392	2	0.6%
0.007662835249	2	0.6%
0.001748251748	2	0.6%
0.005235602094	2	0.6%
0.002865329513	2	0.6%
0.01256038647	1	0.3%
0.001751313485	1	0.3%
0.01288106483	1	0.3%
Other values (225)	225	68.8%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	87	26.6%
0.0006053268765	1	0.3%
0.0009661835749	1	0.3%
0.0009891196835	1	0.3%
0.0009920634921	1	0.3%

Value	Count	Frequency (%)
0.06958608278	1	0.3%
0.05964010283	1	0.3%
0.05589614136	1	0.3%
0.05558772438	1	0.3%
0.05479452055	1	0.3%

HISPANIC_MALE
Real number (ℝ_≥0)

HIGH CORRELATION
ZEROS

Distinct	317
Distinct (%)	96.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.04285318493
Minimum	0
Maximum	0.3044397463
Zeros	7
Zeros (%)	2.1%
Memory size	2.6 KiB

Quantile statistics

Minimum	0
5-th percentile	0.003812412402
Q1	0.01280292361
median	0.02512077295
Q3	0.04781731642
95-th percentile	0.1498944739
Maximum	0.3044397463
Range	0.3044397463
Interquartile range (IQR)	0.03501439281

Descriptive statistics

Standard deviation	0.05058822459
Coefficient of variation (CV)	1.180500928
Kurtosis	8.084025942
Mean	0.04285318493
Median Absolute Deviation (MAD)	0.01452188479
Skewness	2.607735633
Sum	14.01299147
Variance	0.002559168468
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	7	2.1%
0.02272727273	3	0.9%
0.02027027027	2	0.6%
0.02197802198	2	0.6%
0.07682926829	1	0.3%
0.03751803752	1	0.3%
0.04545454545	1	0.3%
0.006756756757	1	0.3%
0.02477477477	1	0.3%
0.03587736464	1	0.3%
Other values (307)	307	93.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	7	2.1%
0.001210653753	1	0.3%
0.001519756839	1	0.3%
0.001860465116	1	0.3%
0.001919385797	1	0.3%

Value	Count	Frequency (%)
0.3044397463	1	0.3%
0.2977624785	1	0.3%
0.2922465209	1	0.3%
0.2909231963	1	0.3%
0.216966581	1	0.3%

AFRICAN_AMERICAN
Real number (ℝ_≥0)

HIGH CORRELATION
ZEROS

Distinct	324
Distinct (%)	99.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.2462542645
Minimum	0
Maximum	0.9962825279
Zeros	4
Zeros (%)	1.2%
Memory size	2.6 KiB

Quantile statistics

Minimum	0
5-th percentile	0.006618685977
Q1	0.02826568197
median	0.1023174464
Q3	0.3642978714
95-th percentile	0.9424950251
Maximum	0.9962825279
Range	0.9962825279
Interquartile range (IQR)	0.3360321895

Descriptive statistics

Standard deviation	0.3050510741
Coefficient of variation (CV)	1.238764635
Kurtosis	0.3998034493
Mean	0.2462542645
Median Absolute Deviation (MAD)	0.08565077977
Skewness	1.329996772
Sum	80.52514448
Variance	0.09305615781
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	4	1.2%
0.006944444444	1	0.3%
0.05795918367	1	0.3%
0.1390346275	1	0.3%
0.9675090253	1	0.3%
0.3	1	0.3%
0.1316526611	1	0.3%
0.006756756757	1	0.3%
0.9076376554	1	0.3%
0.04153354633	1	0.3%
Other values (314)	314	96.0%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	4	1.2%
0.001468428781	1	0.3%
0.003300330033	1	0.3%
0.003610108303	1	0.3%
0.003838771593	1	0.3%

Value	Count	Frequency (%)
0.9962825279	1	0.3%
0.9939209726	1	0.3%
0.9937888199	1	0.3%
0.9927360775	1	0.3%
0.9919571046	1	0.3%

ASIAN
Real number (ℝ_≥0)

HIGH CORRELATION
ZEROS

Distinct	262
Distinct (%)	80.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.01511982391
Minimum	0
Maximum	0.1595680864
Zeros	58
Zeros (%)	17.7%
Memory size	2.6 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	0.002507406106
median	0.007407407407
Q3	0.01794226812
95-th percentile	0.05873310862
Maximum	0.1595680864
Range	0.1595680864
Interquartile range (IQR)	0.01543486201

Descriptive statistics

Standard deviation	0.02173617057
Coefficient of variation (CV)	1.437594161
Kurtosis	10.53127843
Mean	0.01511982391
Median Absolute Deviation (MAD)	0.006226769863
Skewness	2.872614551
Sum	4.944182417
Variance	0.000472461111
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	58	17.7%
0.01149425287	3	0.9%
0.01020408163	3	0.9%
0.003496503497	2	0.6%
0.0101010101	2	0.6%
0.003752345216	2	0.6%
0.008403361345	2	0.6%
0.005730659026	1	0.3%
0.01103646833	1	0.3%
0.00172860847	1	0.3%
Other values (252)	252	77.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	58	17.7%
0.0006053268765	1	0.3%
0.0009940357853	1	0.3%
0.001047120419	1	0.3%
0.001180637544	1	0.3%

Value	Count	Frequency (%)
0.1595680864	1	0.3%
0.1162268389	1	0.3%
0.1117922827	1	0.3%
0.1028277635	1	0.3%
0.1007462687	1	0.3%

HISPANIC
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	321
Distinct (%)	98.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.08270513593
Minimum	0
Maximum	0.5687103594
Zeros	3
Zeros (%)	0.9%
Memory size	2.6 KiB

Quantile statistics

Minimum	0
5-th percentile	0.009309798851
Q1	0.02539639994
median	0.04885343968
Q3	0.09243912729
95-th percentile	0.3082011652
Maximum	0.5687103594
Range	0.5687103594
Interquartile range (IQR)	0.06704272735

Descriptive statistics

Standard deviation	0.09589075091
Coefficient of variation (CV)	1.159429216
Kurtosis	6.85342087
Mean	0.08270513593
Median Absolute Deviation (MAD)	0.02844527642
Skewness	2.483899513
Sum	27.04457945
Variance	0.009195036111
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	3	0.9%
0.02040816327	2	0.6%
0.02702702703	2	0.6%
0.03921568627	2	0.6%
0.05405405405	2	0.6%
0.5387263339	1	0.3%
0.07389635317	1	0.3%
0.1806136681	1	0.3%
0.002070393375	1	0.3%
0.05688622754	1	0.3%
Other values (311)	311	95.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	3	0.9%
0.001519756839	1	0.3%
0.002070393375	1	0.3%
0.003278688525	1	0.3%
0.003289473684	1	0.3%

Value	Count	Frequency (%)
0.5687103594	1	0.3%
0.5387263339	1	0.3%
0.5228859581	1	0.3%
0.4657534247	1	0.3%
0.4562624254	1	0.3%

WHITE
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	323
Distinct (%)	98.8%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.6504454865
Minimum	0
Maximum	0.9901315789
Zeros	3
Zeros (%)	0.9%
Memory size	2.6 KiB

Quantile statistics

Minimum	0
5-th percentile	0.006020840393
Q1	0.4337778131
median	0.8
Q3	0.9156325336
95-th percentile	0.9666470203
Maximum	0.9901315789
Range	0.9901315789
Interquartile range (IQR)	0.4818547205

Descriptive statistics

Standard deviation	0.3328340086
Coefficient of variation (CV)	0.5117016192
Kurtosis	-0.6567692288
Mean	0.6504454865
Median Absolute Deviation (MAD)	0.1411764706
Skewness	-0.920380187
Sum	212.6956741
Variance	0.1107784773
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	3	0.9%
0.9375	2	0.6%
0.9464285714	2	0.6%
0.9123134328	1	0.3%
0.002070393375	1	0.3%
0.6275659824	1	0.3%
0.005769230769	1	0.3%
0.7228116711	1	0.3%
0.1228878648	1	0.3%
0.911227154	1	0.3%
Other values (313)	313	95.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	3	0.9%
0.001488095238	1	0.3%
0.001721170396	1	0.3%
0.00181598063	1	0.3%
0.002070393375	1	0.3%

Value	Count	Frequency (%)
0.9901315789	1	0.3%
0.9884836852	1	0.3%
0.9840348331	1	0.3%
0.9805194805	1	0.3%
0.9803278689	1	0.3%

Expend_per_pupil
Real number (ℝ_≥0)

Distinct	324
Distinct (%)	99.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	10175.23171
Minimum	3684.62
Maximum	39520.57
Zeros	0
Zeros (%)	0.0%
Memory size	2.6 KiB

Quantile statistics

Minimum	3684.62
5-th percentile	7518.356
Q1	8446.06
median	9276.97
Q3	10776.51
95-th percentile	14150.932
Maximum	39520.57
Range	35835.95
Interquartile range (IQR)	2330.45

Descriptive statistics

Standard deviation	3630.95075
Coefficient of variation (CV)	0.3568420703
Kurtosis	29.59366918
Mean	10175.23171
Median Absolute Deviation (MAD)	1066.95
Skewness	4.559330384
Sum	3327300.77
Variance	13183803.35
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
5449.59	4	1.2%
10789.43	1	0.3%
8923.33	1	0.3%
8266.13	1	0.3%
12476.7	1	0.3%
12407.37	1	0.3%
8364.25	1	0.3%
8652.22	1	0.3%
11513.85	1	0.3%
9016.75	1	0.3%
Other values (314)	314	96.0%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
3684.62	1	0.3%
4945.8	1	0.3%
5304.33	1	0.3%
5449.59	4	1.2%
5541.14	1	0.3%

Value	Count	Frequency (%)
39520.57	1	0.3%
38263.25	1	0.3%
33437.25	1	0.3%
26797.29	1	0.3%
21491.84	1	0.3%

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

Count
Matrix

First rows

	DISTRICT_ID	SCHOOL_ID	grad_rate	TOTAL	ECONOMICALLY_DISADVANTAGED	FEMALE	HISPANIC_FEMALE	ASIAN_FEMALE	AFRICAN_AMERICAN_FEMALE	WHITE_FEMALE	MALE	AFRICAN_AMERICAN_MALE	WHITE_MALE	ASIAN_MALE	HISPANIC_MALE	AFRICAN_AMERICAN	ASIAN	HISPANIC	WHITE	Expend_per_pupil
0	10	2	0.96	1075	0.247442	0.482791	0.008372	0.005581	0.002791	0.465116	0.517209	0.007442	0.500465	0.004651	0.001860	0.010233	0.010233	0.010233	0.965581	9171.37
1	10	25	0.95	1120	0.339286	0.451786	0.010714	0.008036	0.020536	0.409821	0.548214	0.019643	0.505357	0.003571	0.016071	0.040179	0.011607	0.026786	0.915179	9523.76
2	12	35	0.92	1406	0.199858	0.491465	0.044097	0.019203	0.070413	0.351351	0.508535	0.085349	0.346373	0.024182	0.046942	0.155761	0.043385	0.091038	0.697724	12546.31
3	20	13	0.98	481	0.193347	0.442827	0.037422	0.002079	0.016632	0.382536	0.557173	0.027027	0.482328	0.004158	0.037422	0.043659	0.006237	0.074844	0.864865	9106.97
4	20	20	0.89	1506	0.371846	0.490704	0.169323	0.003320	0.086321	0.228420	0.509296	0.083001	0.255644	0.007968	0.160691	0.169323	0.011288	0.330013	0.484064	7418.07
5	20	35	0.91	534	0.237828	0.488764	0.056180	0.003745	0.020599	0.408240	0.511236	0.022472	0.423221	0.000000	0.059925	0.043071	0.003745	0.116105	0.831461	8279.85
6	30	25	0.94	637	0.326531	0.486656	0.006279	0.001570	0.010989	0.461538	0.513344	0.028257	0.463108	0.003140	0.012559	0.039246	0.004710	0.018838	0.924647	9673.19
7	40	5	0.93	515	0.386408	0.448544	0.021359	0.000000	0.009709	0.415534	0.551456	0.007767	0.489320	0.001942	0.038835	0.017476	0.001942	0.060194	0.904854	10027.42
8	50	63	0.93	1396	0.207736	0.493553	0.035817	0.007163	0.009312	0.437679	0.506447	0.014327	0.449140	0.002865	0.033668	0.023639	0.010029	0.069484	0.886819	9268.68
9	50	155	0.93	1667	0.151170	0.499700	0.017397	0.002999	0.008398	0.469106	0.500300	0.017397	0.457109	0.004799	0.018596	0.025795	0.007798	0.035993	0.926215	8945.95

Last rows

	DISTRICT_ID	SCHOOL_ID	grad_rate	TOTAL	ECONOMICALLY_DISADVANTAGED	FEMALE	HISPANIC_FEMALE	ASIAN_FEMALE	AFRICAN_AMERICAN_FEMALE	WHITE_FEMALE	MALE	AFRICAN_AMERICAN_MALE	WHITE_MALE	ASIAN_MALE	HISPANIC_MALE	AFRICAN_AMERICAN	ASIAN	HISPANIC	WHITE	Expend_per_pupil
317	950	25	0.94	1895	0.247493	0.486016	0.058575	0.011609	0.078100	0.335620	0.513984	0.079683	0.362005	0.006332	0.063852	0.157784	0.017942	0.122427	0.697625	7842.51
318	950	30	0.97	2220	0.071171	0.487838	0.018018	0.013964	0.044595	0.407207	0.512162	0.050450	0.420270	0.013964	0.024775	0.095045	0.027928	0.042793	0.827477	7519.21
319	950	60	0.96	571	0.185639	0.460595	0.005254	0.001751	0.021016	0.432574	0.539405	0.035026	0.476357	0.001751	0.021016	0.056042	0.003503	0.026270	0.908932	10360.40
320	950	73	0.97	1935	0.109044	0.473902	0.027390	0.016021	0.050646	0.375711	0.526098	0.047028	0.430491	0.012920	0.033592	0.097674	0.028941	0.060982	0.806202	7995.72
321	950	87	0.94	75	0.120000	0.666667	0.026667	0.026667	0.013333	0.600000	0.333333	0.013333	0.293333	0.000000	0.013333	0.026667	0.026667	0.040000	0.893333	20049.13
322	985	45	0.12	174	0.494253	0.586207	0.028736	0.011494	0.522989	0.022989	0.413793	0.339080	0.022989	0.000000	0.045977	0.862069	0.011494	0.074713	0.045977	8025.96
323	985	50	0.11	173	0.531792	0.554913	0.028902	0.000000	0.520231	0.005780	0.445087	0.421965	0.005780	0.000000	0.017341	0.942197	0.000000	0.046243	0.011561	8876.53
324	985	8055	0.80	520	0.682692	0.494231	0.005769	0.005769	0.482692	0.000000	0.505769	0.492308	0.005769	0.001923	0.005769	0.975000	0.007692	0.011538	0.005769	9794.46
325	985	8065	0.73	513	0.647173	0.477583	0.005848	0.000000	0.471735	0.000000	0.522417	0.499025	0.013645	0.000000	0.009747	0.970760	0.000000	0.015595	0.013645	9890.77
326	985	8140	0.60	461	0.709328	0.498915	0.008677	0.006508	0.483731	0.000000	0.501085	0.483731	0.002169	0.000000	0.015184	0.967462	0.006508	0.023861	0.002169	10769.02

Overview

Variables

Interactions

Correlations

Pearson's r

Spearman's ρ

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows